| line | stmt | bran | cond | sub | pod | time | code | 
| 1 |  |  |  |  |  |  | /* | 
| 2 |  |  |  |  |  |  | *+ | 
| 3 |  |  |  |  |  |  | *  Name: | 
| 4 |  |  |  |  |  |  | *     palOap | 
| 5 |  |  |  |  |  |  |  | 
| 6 |  |  |  |  |  |  | *  Purpose: | 
| 7 |  |  |  |  |  |  | *     Observed to apparent place | 
| 8 |  |  |  |  |  |  |  | 
| 9 |  |  |  |  |  |  | *  Language: | 
| 10 |  |  |  |  |  |  | *     Starlink ANSI C | 
| 11 |  |  |  |  |  |  |  | 
| 12 |  |  |  |  |  |  | *  Type of Module: | 
| 13 |  |  |  |  |  |  | *     Library routine | 
| 14 |  |  |  |  |  |  |  | 
| 15 |  |  |  |  |  |  | *  Invocation: | 
| 16 |  |  |  |  |  |  | *     void palOap ( const char *type, double ob1, double ob2, double date, | 
| 17 |  |  |  |  |  |  | *                   double dut, double elongm, double phim, double hm, | 
| 18 |  |  |  |  |  |  | *                   double xp, double yp, double tdk, double pmb, | 
| 19 |  |  |  |  |  |  | *                   double rh, double wl, double tlr, | 
| 20 |  |  |  |  |  |  | *                   double *rap, double *dap ); | 
| 21 |  |  |  |  |  |  |  | 
| 22 |  |  |  |  |  |  | *  Arguments: | 
| 23 |  |  |  |  |  |  | *     type = const char * (Given) | 
| 24 |  |  |  |  |  |  | *        Type of coordinates - 'R', 'H' or 'A' (see below) | 
| 25 |  |  |  |  |  |  | *     ob1 = double (Given) | 
| 26 |  |  |  |  |  |  | *        Observed Az, HA or RA (radians; Az is N=0;E=90) | 
| 27 |  |  |  |  |  |  | *     ob2 = double (Given) | 
| 28 |  |  |  |  |  |  | *        Observed ZD or Dec (radians) | 
| 29 |  |  |  |  |  |  | *     date = double (Given) | 
| 30 |  |  |  |  |  |  | *        UTC date/time (Modified Julian Date, JD-2400000.5) | 
| 31 |  |  |  |  |  |  | *     dut = double (Given) | 
| 32 |  |  |  |  |  |  | *        delta UT: UT1-UTC (UTC seconds) | 
| 33 |  |  |  |  |  |  | *     elongm = double (Given) | 
| 34 |  |  |  |  |  |  | *        Mean longitude of the observer (radians, east +ve) | 
| 35 |  |  |  |  |  |  | *     phim = double (Given) | 
| 36 |  |  |  |  |  |  | *        Mean geodetic latitude of the observer (radians) | 
| 37 |  |  |  |  |  |  | *     hm = double (Given) | 
| 38 |  |  |  |  |  |  | *        Observer's height above sea level (metres) | 
| 39 |  |  |  |  |  |  | *     xp = double (Given) | 
| 40 |  |  |  |  |  |  | *        Polar motion x-coordinates (radians) | 
| 41 |  |  |  |  |  |  | *     yp = double (Given) | 
| 42 |  |  |  |  |  |  | *        Polar motion y-coordinates (radians) | 
| 43 |  |  |  |  |  |  | *     tdk = double (Given) | 
| 44 |  |  |  |  |  |  | *        Local ambient temperature (K; std=273.15) | 
| 45 |  |  |  |  |  |  | *     pmb = double (Given) | 
| 46 |  |  |  |  |  |  | *        Local atmospheric pressure (mb; std=1013.25) | 
| 47 |  |  |  |  |  |  | *     rh = double (Given) | 
| 48 |  |  |  |  |  |  | *        Local relative humidity (in the range 0.0-1.0) | 
| 49 |  |  |  |  |  |  | *     wl = double (Given) | 
| 50 |  |  |  |  |  |  | *        Effective wavelength (micron, e.g. 0.55) | 
| 51 |  |  |  |  |  |  | *     tlr = double (Given) | 
| 52 |  |  |  |  |  |  | *        Tropospheric laps rate (K/metre, e.g. 0.0065) | 
| 53 |  |  |  |  |  |  | *     rap = double * (Given) | 
| 54 |  |  |  |  |  |  | *        Geocentric apparent right ascension | 
| 55 |  |  |  |  |  |  | *     dap = double * (Given) | 
| 56 |  |  |  |  |  |  | *        Geocentric apparent declination | 
| 57 |  |  |  |  |  |  |  | 
| 58 |  |  |  |  |  |  | *  Description: | 
| 59 |  |  |  |  |  |  | *     Observed to apparent place. | 
| 60 |  |  |  |  |  |  |  | 
| 61 |  |  |  |  |  |  | *  Authors: | 
| 62 |  |  |  |  |  |  | *     PTW: Patrick T. Wallace | 
| 63 |  |  |  |  |  |  | *     TIMJ: Tim Jenness (JAC, Hawaii) | 
| 64 |  |  |  |  |  |  | *     {enter_new_authors_here} | 
| 65 |  |  |  |  |  |  |  | 
| 66 |  |  |  |  |  |  | *  Notes: | 
| 67 |  |  |  |  |  |  | *     - Only the first character of the TYPE argument is significant. | 
| 68 |  |  |  |  |  |  | *     'R' or 'r' indicates that OBS1 and OBS2 are the observed right | 
| 69 |  |  |  |  |  |  | *     ascension and declination;  'H' or 'h' indicates that they are | 
| 70 |  |  |  |  |  |  | *     hour angle (west +ve) and declination;  anything else ('A' or | 
| 71 |  |  |  |  |  |  | *     'a' is recommended) indicates that OBS1 and OBS2 are azimuth | 
| 72 |  |  |  |  |  |  | *     (north zero, east 90 deg) and zenith distance.  (Zenith | 
| 73 |  |  |  |  |  |  | *     distance is used rather than elevation in order to reflect the | 
| 74 |  |  |  |  |  |  | *     fact that no allowance is made for depression of the horizon.) | 
| 75 |  |  |  |  |  |  | * | 
| 76 |  |  |  |  |  |  | *     - The accuracy of the result is limited by the corrections for | 
| 77 |  |  |  |  |  |  | *     refraction.  Providing the meteorological parameters are | 
| 78 |  |  |  |  |  |  | *     known accurately and there are no gross local effects, the | 
| 79 |  |  |  |  |  |  | *     predicted apparent RA,Dec should be within about 0.1 arcsec | 
| 80 |  |  |  |  |  |  | *     for a zenith distance of less than 70 degrees.  Even at a | 
| 81 |  |  |  |  |  |  | *     topocentric zenith distance of 90 degrees, the accuracy in | 
| 82 |  |  |  |  |  |  | *     elevation should be better than 1 arcmin;  useful results | 
| 83 |  |  |  |  |  |  | *     are available for a further 3 degrees, beyond which the | 
| 84 |  |  |  |  |  |  | *     palRefro routine returns a fixed value of the refraction. | 
| 85 |  |  |  |  |  |  | *     The complementary routines palAop (or palAopqk) and palOap | 
| 86 |  |  |  |  |  |  | *     (or palOapqk) are self-consistent to better than 1 micro- | 
| 87 |  |  |  |  |  |  | *     arcsecond all over the celestial sphere. | 
| 88 |  |  |  |  |  |  | * | 
| 89 |  |  |  |  |  |  | *     - It is advisable to take great care with units, as even | 
| 90 |  |  |  |  |  |  | *     unlikely values of the input parameters are accepted and | 
| 91 |  |  |  |  |  |  | *     processed in accordance with the models used. | 
| 92 |  |  |  |  |  |  | * | 
| 93 |  |  |  |  |  |  | *     - "Observed" Az,El means the position that would be seen by a | 
| 94 |  |  |  |  |  |  | *     perfect theodolite located at the observer.  This is | 
| 95 |  |  |  |  |  |  | *     related to the observed HA,Dec via the standard rotation, using | 
| 96 |  |  |  |  |  |  | *     the geodetic latitude (corrected for polar motion), while the | 
| 97 |  |  |  |  |  |  | *     observed HA and RA are related simply through the local | 
| 98 |  |  |  |  |  |  | *     apparent ST.  "Observed" RA,Dec or HA,Dec thus means the | 
| 99 |  |  |  |  |  |  | *     position that would be seen by a perfect equatorial located | 
| 100 |  |  |  |  |  |  | *     at the observer and with its polar axis aligned to the | 
| 101 |  |  |  |  |  |  | *     Earth's axis of rotation (n.b. not to the refracted pole). | 
| 102 |  |  |  |  |  |  | *     By removing from the observed place the effects of | 
| 103 |  |  |  |  |  |  | *     atmospheric refraction and diurnal aberration, the | 
| 104 |  |  |  |  |  |  | *     geocentric apparent RA,Dec is obtained. | 
| 105 |  |  |  |  |  |  | * | 
| 106 |  |  |  |  |  |  | *     - Frequently, mean rather than apparent RA,Dec will be required, | 
| 107 |  |  |  |  |  |  | *     in which case further transformations will be necessary.  The | 
| 108 |  |  |  |  |  |  | *     palAmp etc routines will convert the apparent RA,Dec produced | 
| 109 |  |  |  |  |  |  | *     by the present routine into an "FK5" (J2000) mean place, by | 
| 110 |  |  |  |  |  |  | *     allowing for the Sun's gravitational lens effect, annual | 
| 111 |  |  |  |  |  |  | *     aberration, nutation and precession.  Should "FK4" (1950) | 
| 112 |  |  |  |  |  |  | *     coordinates be needed, the routines palFk524 etc will also | 
| 113 |  |  |  |  |  |  | *     need to be applied. | 
| 114 |  |  |  |  |  |  | * | 
| 115 |  |  |  |  |  |  | *     - To convert to apparent RA,Dec the coordinates read from a | 
| 116 |  |  |  |  |  |  | *     real telescope, corrections would have to be applied for | 
| 117 |  |  |  |  |  |  | *     encoder zero points, gear and encoder errors, tube flexure, | 
| 118 |  |  |  |  |  |  | *     the position of the rotator axis and the pointing axis | 
| 119 |  |  |  |  |  |  | *     relative to it, non-perpendicularity between the mounting | 
| 120 |  |  |  |  |  |  | *     axes, and finally for the tilt of the azimuth or polar axis | 
| 121 |  |  |  |  |  |  | *     of the mounting (with appropriate corrections for mount | 
| 122 |  |  |  |  |  |  | *     flexures).  Some telescopes would, of course, exhibit other | 
| 123 |  |  |  |  |  |  | *     properties which would need to be accounted for at the | 
| 124 |  |  |  |  |  |  | *     appropriate point in the sequence. | 
| 125 |  |  |  |  |  |  | * | 
| 126 |  |  |  |  |  |  | *     - This routine takes time to execute, due mainly to the rigorous | 
| 127 |  |  |  |  |  |  | *     integration used to evaluate the refraction.  For processing | 
| 128 |  |  |  |  |  |  | *     multiple stars for one location and time, call palAoppa once | 
| 129 |  |  |  |  |  |  | *     followed by one call per star to palOapqk.  Where a range of | 
| 130 |  |  |  |  |  |  | *     times within a limited period of a few hours is involved, and the | 
| 131 |  |  |  |  |  |  | *     highest precision is not required, call palAoppa once, followed | 
| 132 |  |  |  |  |  |  | *     by a call to palAoppat each time the time changes, followed by | 
| 133 |  |  |  |  |  |  | *     one call per star to palOapqk. | 
| 134 |  |  |  |  |  |  | * | 
| 135 |  |  |  |  |  |  | *     - The DATE argument is UTC expressed as an MJD.  This is, strictly | 
| 136 |  |  |  |  |  |  | *     speaking, wrong, because of leap seconds.  However, as long as | 
| 137 |  |  |  |  |  |  | *     the delta UT and the UTC are consistent there are no | 
| 138 |  |  |  |  |  |  | *     difficulties, except during a leap second.  In this case, the | 
| 139 |  |  |  |  |  |  | *     start of the 61st second of the final minute should begin a new | 
| 140 |  |  |  |  |  |  | *     MJD day and the old pre-leap delta UT should continue to be used. | 
| 141 |  |  |  |  |  |  | *     As the 61st second completes, the MJD should revert to the start | 
| 142 |  |  |  |  |  |  | *     of the day as, simultaneously, the delta UTC changes by one | 
| 143 |  |  |  |  |  |  | *     second to its post-leap new value. | 
| 144 |  |  |  |  |  |  | * | 
| 145 |  |  |  |  |  |  | *     - The delta UT (UT1-UTC) is tabulated in IERS circulars and | 
| 146 |  |  |  |  |  |  | *     elsewhere.  It increases by exactly one second at the end of | 
| 147 |  |  |  |  |  |  | *     each UTC leap second, introduced in order to keep delta UT | 
| 148 |  |  |  |  |  |  | *     within +/- 0.9 seconds. | 
| 149 |  |  |  |  |  |  | * | 
| 150 |  |  |  |  |  |  | *     - IMPORTANT -- TAKE CARE WITH THE LONGITUDE SIGN CONVENTION. | 
| 151 |  |  |  |  |  |  | *     The longitude required by the present routine is east-positive, | 
| 152 |  |  |  |  |  |  | *     in accordance with geographical convention (and right-handed). | 
| 153 |  |  |  |  |  |  | *     In particular, note that the longitudes returned by the | 
| 154 |  |  |  |  |  |  | *     palOBS routine are west-positive, following astronomical | 
| 155 |  |  |  |  |  |  | *     usage, and must be reversed in sign before use in the present | 
| 156 |  |  |  |  |  |  | *     routine. | 
| 157 |  |  |  |  |  |  | * | 
| 158 |  |  |  |  |  |  | *     - The polar coordinates XP,YP can be obtained from IERS | 
| 159 |  |  |  |  |  |  | *     circulars and equivalent publications.  The maximum amplitude | 
| 160 |  |  |  |  |  |  | *     is about 0.3 arcseconds.  If XP,YP values are unavailable, | 
| 161 |  |  |  |  |  |  | *     use XP=YP=0D0.  See page B60 of the 1988 Astronomical Almanac | 
| 162 |  |  |  |  |  |  | *     for a definition of the two angles. | 
| 163 |  |  |  |  |  |  | * | 
| 164 |  |  |  |  |  |  | *     - The height above sea level of the observing station, HM, | 
| 165 |  |  |  |  |  |  | *     can be obtained from the Astronomical Almanac (Section J | 
| 166 |  |  |  |  |  |  | *     in the 1988 edition), or via the routine palOBS.  If P, | 
| 167 |  |  |  |  |  |  | *     the pressure in millibars, is available, an adequate | 
| 168 |  |  |  |  |  |  | *     estimate of HM can be obtained from the expression | 
| 169 |  |  |  |  |  |  | * | 
| 170 |  |  |  |  |  |  | *            HM ~ -29.3*TSL*LOG(P/1013.25). | 
| 171 |  |  |  |  |  |  | * | 
| 172 |  |  |  |  |  |  | *     where TSL is the approximate sea-level air temperature in K | 
| 173 |  |  |  |  |  |  | *     (see Astrophysical Quantities, C.W.Allen, 3rd edition, | 
| 174 |  |  |  |  |  |  | *     section 52).  Similarly, if the pressure P is not known, | 
| 175 |  |  |  |  |  |  | *     it can be estimated from the height of the observing | 
| 176 |  |  |  |  |  |  | *     station, HM, as follows: | 
| 177 |  |  |  |  |  |  | * | 
| 178 |  |  |  |  |  |  | *            P ~ 1013.25*EXP(-HM/(29.3*TSL)). | 
| 179 |  |  |  |  |  |  | * | 
| 180 |  |  |  |  |  |  | *     Note, however, that the refraction is nearly proportional to the | 
| 181 |  |  |  |  |  |  | *     pressure and that an accurate P value is important for precise | 
| 182 |  |  |  |  |  |  | *     work. | 
| 183 |  |  |  |  |  |  | * | 
| 184 |  |  |  |  |  |  | *     - The azimuths etc. used by the present routine are with respect | 
| 185 |  |  |  |  |  |  | *     to the celestial pole.  Corrections from the terrestrial pole | 
| 186 |  |  |  |  |  |  | *     can be computed using palPolmo. | 
| 187 |  |  |  |  |  |  |  | 
| 188 |  |  |  |  |  |  | *  History: | 
| 189 |  |  |  |  |  |  | *     2012-08-27 (TIMJ): | 
| 190 |  |  |  |  |  |  | *        Initial version, copied from Fortran SLA | 
| 191 |  |  |  |  |  |  | *        Adapted with permission from the Fortran SLALIB library. | 
| 192 |  |  |  |  |  |  | *     {enter_further_changes_here} | 
| 193 |  |  |  |  |  |  |  | 
| 194 |  |  |  |  |  |  | *  Copyright: | 
| 195 |  |  |  |  |  |  | *     Copyright (C) 2005 Patrick T. Wallace | 
| 196 |  |  |  |  |  |  | *     Copyright (C) 2012 Science and Technology Facilities Council. | 
| 197 |  |  |  |  |  |  | *     All Rights Reserved. | 
| 198 |  |  |  |  |  |  |  | 
| 199 |  |  |  |  |  |  | *  Licence: | 
| 200 |  |  |  |  |  |  | *     This program is free software; you can redistribute it and/or | 
| 201 |  |  |  |  |  |  | *     modify it under the terms of the GNU General Public License as | 
| 202 |  |  |  |  |  |  | *     published by the Free Software Foundation; either version 3 of | 
| 203 |  |  |  |  |  |  | *     the License, or (at your option) any later version. | 
| 204 |  |  |  |  |  |  | * | 
| 205 |  |  |  |  |  |  | *     This program is distributed in the hope that it will be | 
| 206 |  |  |  |  |  |  | *     useful, but WITHOUT ANY WARRANTY; without even the implied | 
| 207 |  |  |  |  |  |  | *     warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR | 
| 208 |  |  |  |  |  |  | *     PURPOSE. See the GNU General Public License for more details. | 
| 209 |  |  |  |  |  |  | * | 
| 210 |  |  |  |  |  |  | *     You should have received a copy of the GNU General Public License | 
| 211 |  |  |  |  |  |  | *     along with this program; if not, write to the Free Software | 
| 212 |  |  |  |  |  |  | *     Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, | 
| 213 |  |  |  |  |  |  | *     MA 02110-1301, USA. | 
| 214 |  |  |  |  |  |  |  | 
| 215 |  |  |  |  |  |  | *  Bugs: | 
| 216 |  |  |  |  |  |  | *     {note_any_bugs_here} | 
| 217 |  |  |  |  |  |  | *- | 
| 218 |  |  |  |  |  |  | */ | 
| 219 |  |  |  |  |  |  |  | 
| 220 |  |  |  |  |  |  | #include "pal.h" | 
| 221 |  |  |  |  |  |  |  | 
| 222 | 3 |  |  |  |  |  | void palOap ( const char *type, double ob1, double ob2, double date, | 
| 223 |  |  |  |  |  |  | double dut, double elongm, double phim, double hm, | 
| 224 |  |  |  |  |  |  | double xp, double yp, double tdk, double pmb, | 
| 225 |  |  |  |  |  |  | double rh, double wl, double tlr, | 
| 226 |  |  |  |  |  |  | double *rap, double *dap ) { | 
| 227 |  |  |  |  |  |  |  | 
| 228 |  |  |  |  |  |  | double aoprms[14]; | 
| 229 |  |  |  |  |  |  |  | 
| 230 | 3 |  |  |  |  |  | palAoppa(date,dut,elongm,phim,hm,xp,yp,tdk,pmb,rh,wl,tlr, | 
| 231 |  |  |  |  |  |  | aoprms); | 
| 232 | 3 |  |  |  |  |  | palOapqk(type,ob1,ob2,aoprms,rap,dap); | 
| 233 |  |  |  |  |  |  |  | 
| 234 | 3 |  |  |  |  |  | } |